The differential cross sections for the \(^2\)H(p,pp)n reaction have been measured for more than 80 angular configurations of the outgoing protons in the range of polar angles from 13 to 33 degrees with a proton beam at 108 MeV. Data have been collected at the first experimental run in the Cyclotron Center Bronowice (CCB) at the Institute of Nuclear Physics PAS in Cracow, using the BINA detector setup. Analysis leading to determination of the breakup cross section values is described. Absolute normalization is obtained by normalization to the simultaneously measured \(^1\)H(d,d)p scattering events.Experimental results are compared to the state-of-the-art theoretical calculations. Global analysis shows significant influence of the Coulomb interaction and small effects of three nucleon force in the studied phase space region.